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Finding the Fourth Proportional to 161.14, 239.81 and 155.38

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Solution

The fourth proportional to 161.14, 239.81 and 155.38 is: 231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.14 : 239.81 = 155.38 : x
  2. Step 2: Convert to fraction form
    161.14/239.81 = 155.38/x
  3. Step 3: Cross multiply
    161.14x = 239.81 × 155.38
  4. Step 4: Simplify right side
    161.14x = 37,261.68
  5. Step 5: Solve for x
    x = 37,261.68/161.14
  6. Step 6: Final answer
    x = 231.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.